
A billiard ball is hit in an oblique fashion by the cue
and experiences a force P as shown in the figure (top view).
Consider the force P, the angle β,
the mass m, the radius r, and the polar mass moment of inertia
= 2/5 m r² of the billiard ball as given.

Write out the equations for the x and ycomponent of the acceleration
of the center of mass due to force P.
 Write out the equation for the angular acceleration
of the ball due to force P.
 Use the results from (1) and (2) and the concept of relative acceleration
to derive the equation for the
acceleration of
point 1, the point at which P is hitting the ball assuming that at the
the angular velocity of the ball is still zero.
